I think that certain plants will require certain things being near to grow best. That might be water, lava, gravel, sand, soil, iron, copper, rock, etc. Maybe the fuel needs lava and to be planted on iron to grow fastest. Maybe the starberries need water foliage and wood (since they hinted they grow from trees). For everything except dyes, I would think the planets would not matter much. Of course it is easier to find lava on the higher tier planets so they might make it easier to be near lava, but if we can create water and lava sources then there are alternatives. I would not think the biomes or atmospheres would matter much as these can vary even between worlds that are the same tier.
I do think the organic farming (things like starberries) will be easiest, Inorganic will be next as it may require lava and that does introduce a certain risk. The prestige farming might actually be the most time intensive as they may require constant maintenance to keep them from dying and replacement on a certain cycle as they die. If you are going for looks versus prestige might be easier to use the non-prestige plants as they can stay in the full grown state indefinitely as long as they are not harvested (but this is another topic). I see the dying as the most complex and depending on how the dye seeds are collected and what it might take to create dyes, this might be where more skills are needed.